Binary Number And Code Systems Quiz!

The binary equivalent for decimal number 9 is 1001. In binary, each digit represents a power of 2, starting from the rightmost digit being 2^0, then 2^1, 2^2, and so on. To convert decimal 9 to binary, we divide it by 2 repeatedly and record the remainders. The remainders, read from bottom to top, give us the binary representation. In this case, when we divide 9 by 2, we get a quotient of 4 and a remainder of 1. Dividing 4 by 2 gives us a quotient of 2 and a remainder of 0. Finally, dividing 2 by 2 gives us a quotient of 1 and a remainder of 0. Reading the remainders from bottom to top, we get 1001.

The binary number 11001 can be converted to decimal by multiplying each digit by the corresponding power of 2 and adding them together. In this case, the calculation would be: (1 * 2^4) + (1 * 2^3) + (0 * 2^2) + (0 * 2^1) + (1 * 2^0) = 16 + 8 + 0 + 0 + 1 = 25. Therefore, the decimal equivalent for the binary number 11001 is 25.

The binary equivalent for the hexadecimal number 2A6 is 001010100110.

The hexadecimal representation of a binary number is obtained by grouping the binary digits into sets of four and converting each set into its corresponding hexadecimal digit. In this case, the binary number 100100101011 can be grouped as 1001 0010 1011. Converting each group into hexadecimal, we get 9 2 B. Therefore, the hexadecimal representation for the given binary number is 0x92B.

The binary representation for 0xAC is 10101100.

The base 10 number 312 can be converted to hexadecimal by dividing it by 16 repeatedly and noting down the remainders. Starting from the rightmost digit, the remainders are 12, 3, and 1. These remainders correspond to the hexadecimal digits C, 3, and 1 respectively. Therefore, the hexadecimal representation of 312 is 0x138.

The given codeword is 011 1000. To attach an EVEN parity, we need to count the number of 1s in the codeword. If the count is even, we append a 0 to the codeword. If the count is odd, we append a 1. In this case, there are 3 1s in the codeword, which is an odd count. Therefore, we append a 1 to the codeword to achieve an EVEN parity.

The base 10 number 233 can be expressed as binary by repeatedly dividing it by 2 and noting the remainder. Starting with 233, the remainder is 1. Dividing 233 by 2 gives 116 with a remainder of 0. Dividing 116 by 2 gives 58 with a remainder of 0. Dividing 58 by 2 gives 29 with a remainder of 0. Dividing 29 by 2 gives 14 with a remainder of 1. Dividing 14 by 2 gives 7 with a remainder of 0. Dividing 7 by 2 gives 3 with a remainder of 1. Dividing 3 by 2 gives 1 with a remainder of 1. Finally, dividing 1 by 2 gives 0 with a remainder of 1. Reading the remainders from bottom to top gives the binary representation of 233 as 11101001.

BCD (Binary-Coded Decimal) is a system for representing decimal numbers using binary code. Each decimal digit is represented by a four-bit binary code. To convert the BCD number 136 to decimal, we need to break it down into its individual digits and their corresponding binary codes:

1 = 0001

3 = 0011

6 = 0110

Therefore, the BCD representation of 136 is 0001 0011 0110.